38941354800 has 240 divisors, whose sum is σ = 139306560000. Its totient is φ = 10331608320.

The previous prime is 38941354789. The next prime is 38941354801. The reversal of 38941354800 is 845314983.

38941354800 is a `hidden beast` number, since 3 + 8 + 94 + 13 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×38941354800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38941354801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140141 + ... + 2158259.

It is an arithmetic number, because the mean of its divisors is an integer number (580444000).

Almost surely, 2^38941354800 is an apocalyptic number.

38941354800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38941354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69653280000).

38941354800 is an abundant number, since it is smaller than the sum of its proper divisors (100365205200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38941354800 is a wasteful number, since it uses less digits than its factorization.

38941354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18345 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38941354800 in words is "thirty-eight billion, nine hundred forty-one million, three hundred fifty-four thousand, eight hundred".